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196377491025 = 32523129532
BaseRepresentation
bin1011011011100100000…
…0101011011001010001
3200202212212220011101100
42312321000223121101
511204140114203100
6230114203055013
720121263063232
oct2667100533121
9622785804340
10196377491025
1176312a79631
1232086511469
131569798a941
14970cd53089
155195418400
hex2db902b651

196377491025 has 81 divisors (see below), whose sum is σ = 363827940177. Its totient is φ = 101249769600.

The previous prime is 196377491003. The next prime is 196377491053. The reversal of 196377491025 is 520194773691.

The square root of 196377491025 is 443145.

It is a perfect power (a square), and thus also a powerful number.

196377491025 is a `hidden beast` number, since 1 + 9 + 63 + 77 + 491 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9846791361 + 186530699664 = 99231^2 + 431892^2 .

It is not a de Polignac number, because 196377491025 - 25 = 196377490993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 206061949 + ... + 206062901.

Almost surely, 2196377491025 is an apocalyptic number.

196377491025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196377491025 is the 443145-th square number.

196377491025 is the 221573-rd centered octagonal number.

It is an amenable number.

196377491025 is a deficient number, since it is larger than the sum of its proper divisors (167450449152).

196377491025 is an frugal number, since it uses more digits than its factorization.

196377491025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 196377491025 in words is "one hundred ninety-six billion, three hundred seventy-seven million, four hundred ninety-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 953 961 1395 2325 2859 2883 4765 4805 6975 8577 8649 14295 14415 23825 24025 29543 42885 43245 71475 72075 88629 147715 214425 216225 265887 443145 738575 908209 915833 1329435 2215725 2724627 2747499 4541045 4579165 6647175 8173881 8242497 13623135 13737495 22705225 22895825 28154479 40869405 41212485 68115675 68687475 84463437 140772395 204347025 206062425 253390311 422317185 703861975 872788849 1266951555 2111585925 2618366547 4363944245 6334757775 7855099641 13091832735 21819721225 39275498205 65459163675 196377491025